Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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vellet aſſumere triangulum rectangulum ad
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B, vt notam faceret
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diſtantiam inter B &
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D, ſibique perſuaderet
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aut à baſi aut ab hy
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pothenusâ illius
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guli</
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exhiberi diſtan
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tiam BD, longè di
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ſtaret à veritate. </
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<
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>Du
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cta ſiquidem perpen
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dicularis BH longè
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minor eſt arcu BD, cum ſit Tangens ſe
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miſsis illius arcûs: hypothenuſa verò AH
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minor eſt quàm tota Tangens AD, de
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fectu æquali ipſi baſi BH; ſunt enim HB,
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HD æquales, cùm vtraque ſit circulum
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tangens ab eodem puncto H ducta. </
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<
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propter deberet aggregatum ex baſi BH
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& hypothenusâ AH accipere, vt totam
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AD haberet, quæ non multùm differt ab ar
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cu BD, niſi altitudo BA fuerit mons aut ſco
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pulus. </
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<
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>Quod ſi tuus ille terrenæ magnitudinis
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inueſtigator lineam BD pro maximâ vi
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sûs diſtantiâ aſſumpſiſſet, illa vtique media
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eſt proportionalis, ex cuius quadrato per no
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tam altitudinem DA diuiſo prouenit tertius </
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